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Finding the Fourth Proportional to 82,048.96, 123,051.30 and 34,664.32

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Solution

The fourth proportional to 82,048.96, 123,051.30 and 34,664.32 is: 51,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,048.96 : 123,051.30 = 34,664.32 : x
  2. Step 2: Convert to fraction form
    82,048.96/123,051.30 = 34,664.32/x
  3. Step 3: Cross multiply
    82,048.96x = 123,051.30 × 34,664.32
  4. Step 4: Simplify right side
    82,048.96x = 4,265,489,639.62
  5. Step 5: Solve for x
    x = 4,265,489,639.62/82,048.96
  6. Step 6: Final answer
    x = 51,987.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.